ILO1015: Operation Research Syllabus for BM 7th Sem 2019 Pattern Mumbai University (Institute Level Optional Course-1)

Operation Research detailed syllabus scheme for Biomedical Engineering (BM), 2019 regulation has been taken from the MU official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For 7th Sem Scheme of Biomedical Engineering (BM), 2019 Pattern, do visit BM 7th Sem Scheme, 2019 Pattern. For the Institute Level Optional Course-1 scheme of 7th Sem 2019 regulation, refer to BM 7th Sem Institute Level Optional Course-1 Scheme 2019 Pattern. The detail syllabus for operation research is as follows.

Operation Research Syllabus for Biomedical Engineering BE 7th Sem 2019 Pattern Mumbai University

Course Objectives:

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Course Outcomes:

Learner will be able to

• Understand the theoretical workings of the simplex method for linear programming and perform iterations of it by hand.
• Understand the relationship between a linear program and its dual, including strong duality and complementary slackness.
• Perform sensitivity analysis to determine the direction and magnitude of change of a models optimal solution as the data change.
• Solve specialized linear programming problems like the transportation and assignment problems.
• Solve network models like the shortest path, minimum spanning tree, and maximum flow problems.
• Understand the applications of, basic methods for, and challenges in integer programming
• Model a dynamic system as a queuing model and compute important performance measures

Module 1

Introduction to Operations Research: Introduction, Historical Background, Scope of Operations Research , Features of Operations Research, Phases of Operations Research, Types of Operations Research Models, Operations Research Methodology, Operations Research Techniques and Tools , Structure of the Mathematical Model, Limitations of Operations Research 02

Module 2

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Module 3

Transportation Problem: Formulation, solution, unbalanced Transportation problem. Finding basic feasible solutions – Northwest corner rule, least cost method and Vogels approximation method. Optimality test: the stepping stone method and MODI method. Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Processing of n Jobs Through Two Machines and m Machines, Graphical Method of Two Jobs m Machines Problem Routing Problem, Travelling Salesman Problem 06

Module 4

Integer Programming Problem: Introduction, Types of Integer Programming Problems, Gomorys cutting plane Algorithm, Branch and Bound Technique. Introduction to Decomposition algorithms. 06

Module 5

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Module 6

Simulation: Introduction, Methodology of Simulation, Basic Concepts, Simulation Procedure, Application of Simulation MonteCarlo Method: Introduction, Monte-Carlo Simulation, Applications of Simulation, Advantages of Simulation, Limitations of Simulation 04

Module 7

Dynamic programming. Characteristics of dynamic programming. Dynamic programming approach for Priority Management employment smoothening, capital budgeting, Stage Coach/Shortest Path, cargo loading and Reliability problems. 04

Module 8

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Module 9

Inventory Models: Classical EOQ Models, EOQ Model with Price Breaks, EOQ with Shortage, Probabilistic EOQ Model, 04

Assessment:

Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project.

Reference Books:

1. Taha, H.A. “Operations Research – An Introduction”, Prentice Hall, (7th Edition), 2002.
2. Ravindran, A, Phillips, D. T and Solberg, J. J. “Operations Research: Principles and Practice”, John Willey and Sons, 2nd Edition, 2009.
3. Hiller, F. S. and Liebermann, G. J. “Introduction to Operations Research”, Tata McGraw Hill, 2002.
4. Operations Research, S. D. Sharma, KedarNath Ram Nath-Meerut.
5. Operations Research, KantiSwarup, P. K. Gupta and Man Mohan, Sultan Chand & Sons.

Theory Examination:

Some guidelines for setting the question papers are as, six questions to be set each of 20 marks, out of these any four questions to be attempted by students. Minimum 80% syllabus should be covered in question papers of end semester examination. In question paper weightage of each module will be proportional to number of respective lecture hours as mention in the syllabus.

1. Question paper will comprise of total six question
2. All question carry equal marks
3. Questions will be mixed in nature (for example supposed Q.2 has part
   1. from module 3 then part
   2. will be from any module other than module 3)
4. Only Four question need to be solved.

For detail Syllabus of all subjects of Biomedical Engineering (BM) 7th Sem 2019 regulation, visit BM 7th Sem Subjects of 2019 Pattern.